Mathematical Model on Minimality of Vaccination Costs of Covid-19 Using Fractional Order

Abstract

An extremely efficient method of halting the horrible spread of pandemics is vaccination. This research investigates the cost-effectiveness of vaccine doses using a fractional-order commensurate model. The ABC type fract-integrals of COVID-19 multi-compartmental model is used to investigate the efficacy of vaccination dosages, vaccine shortages, and dose distribution. In order to assess the costs of vaccination and its use to combat COVID-19 in India, we created a fractional order model with 4 compartments of vaccinated and people waiting for booster shots have beed framed. Vaccination cost control model for this study is designed and analysed through the existence, stability and threshold measures. Through numerical convergence and simulations, the increase in disease severity brought on by microbial pathogens is investigated. Using fixed point theorems, the existence and singularity of the solution space for the framed model are assessed. Inventory control entropy on fractional derivative is used to assess the minimisation of vaccine costs